Answer to Question #1358 in Mechanics | Relativity for Jon ALlen

Question

Two balls, each with a mass of 0.764 kg,
exert a gravitational force of 9.00 × 10−11 N
on each other.
How far apart are the balls? The value
of the universal gravitational constant is
6.673 × 10−11 Nm2/kg2.
Answer in units of m.

Answer 1

According the law of gravitation attraction:
F = G M₁M₂/R2
Thus
R = √(GM₁M₂ / F) = √(6.673 × 10−11 * 0.7642/9.00 × 10−11) = 0.66 m